# Find the absolute maximum and minimum values, and their locations, of the function f(x) in the given interval f(x) = x^{2}−1, −1 ≤ x ≤ 2.

In the function, the highest value is considered the maximum value of a function, and the lowest value is considered the minimum value of the function.

## Answer: The absolute maximum and minimum values of the given function are 3 and 0 respectively and they occur at x = 2 and x = -1, 1 respectively.

Let us see how to find absolute maximum and minimum

**Explanation:**

To find the absolute maximum and minimum, we will put the values of x in the given function.

The values of x as per the given interval are -1, 0, 1 and 2.

f(-1) = (-1)^{2} - 1 = 0

f(0) = 0^{2} -1 = -1 and the absolute value is 1

f(1) = 1^{2} -1 = 0

f(2) = 2^{2} -1 = 3

Hence, from above we can see that the absolute minimum value of the function is 0 and it occurs at x = -1, 1 and the absolute maximum value is 3 and it occurs at x = 2.